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144441152524104 = 233438314563115793
BaseRepresentation
bin100000110101111001010011…
…100101100100111101001000
3200221102102212021020102212120
4200311321103211210331020
5122413010440021232404
61231111203250411240
742265346260626462
oct4065712345447510
9627372767212776
10144441152524104
1142029170032707
12142497b5890b20
13627998590a937
142794dbc08d132
1511a73a4b359d9
hex835e53964f48

144441152524104 has 128 divisors (see below), whose sum is σ = 373981345436160. Its totient is φ = 46457165841408.

The previous prime is 144441152524091. The next prime is 144441152524129. The reversal of 144441152524104 is 401425251144441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247350432 + ... + 1247466224.

It is an arithmetic number, because the mean of its divisors is an integer number (2921729261220).

Almost surely, 2144441152524104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144441152524104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186990672718080).

144441152524104 is an abundant number, since it is smaller than the sum of its proper divisors (229540192912056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144441152524104 is a wasteful number, since it uses less digits than its factorization.

144441152524104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130491 (or 130487 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 42.

The spelling of 144441152524104 in words is "one hundred forty-four trillion, four hundred forty-one billion, one hundred fifty-two million, five hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 43 83 86 129 166 172 249 258 332 344 498 516 664 996 1032 1992 3569 7138 10707 14276 14563 21414 28552 29126 42828 43689 58252 85656 87378 115793 116504 174756 231586 347379 349512 463172 626209 694758 926344 1208729 1252418 1389516 1878627 2417458 2504836 2779032 3626187 3757254 4834916 4979099 5009672 7252374 7514508 9610819 9669832 9958198 14504748 14937297 15029016 19221638 19916396 28832457 29009496 29874594 38443276 39832792 51975347 57664914 59749188 76886552 103950694 115329828 119498376 155926041 207901388 230659656 311852082 413265217 415802776 623704164 826530434 1239795651 1247408328 1653060868 1686293459 2479591302 3306121736 3372586918 4959182604 5058880377 6745173836 9918365208 10117760754 13490347672 20235521508 40471043016 72510618737 139962357097 145021237474 217531856211 279924714194 290042474948 419887071291 435063712422 559849428388 580084949896 839774142582 870127424844 1119698856776 1679548285164 1740254849688 3359096570328 6018381355171 12036762710342 18055144065513 24073525420684 36110288131026 48147050841368 72220576262052 144441152524104